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In this paper we investigate the tractability of robust Markov Decision Processes (RMDPs) under various structural assumptions on the uncertainty set. Surprisingly, we show that in all generality (i.e. without any assumption on the…

Optimization and Control · Mathematics 2024-11-14 Julien Grand-Clément , Nian Si , Shengbo Wang

Action delays degrade the performance of reinforcement learning in many real-world systems. This paper proposes a formal definition of delay-aware Markov Decision Process and proves it can be transformed into standard MDP with augmented…

Machine Learning · Computer Science 2021-05-10 Baiming Chen , Mengdi Xu , Liang Li , Ding Zhao

In Markov Decision Processes (MDPs), the reward obtained in a state depends on the properties of the last state and action. This state dependency makes it difficult to reward more interesting long-term behaviors, such as always closing a…

Artificial Intelligence · Computer Science 2017-06-27 Ronen Brafman , Giuseppe De Giacomo , Fabio Patrizi

Markov reward processes (MRPs) are used to model stochastic phenomena arising in operations research, control engineering, robotics, and artificial intelligence, as well as communication and transportation networks. In many of these cases,…

Machine Learning · Statistics 2020-09-17 Ashwin Pananjady , Martin J. Wainwright

We present an approach that can be useful when the network or system performance is described by a model that is not Markovian. Although most performance models are based on Markov chains or Markov processes, in some cases the Markov…

Performance · Computer Science 2020-12-15 Andras Farago

We address the problem of inverse reinforcement learning in Markov decision processes where the agent is risk-sensitive. In particular, we model risk-sensitivity in a reinforcement learning framework by making use of models of human…

Machine Learning · Computer Science 2017-11-23 Lillian J. Ratliff , Eric Mazumdar

In this paper, we present an online reinforcement learning algorithm for constrained Markov decision processes with a safety constraint. Despite the necessary attention of the scientific community, considering stochastic stopping time, the…

Machine Learning · Computer Science 2024-03-26 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

Many practical decision-making problems involve tasks whose success depends on the entire system history, rather than on achieving a state with desired properties. Markovian Reinforcement Learning (RL) approaches are not suitable for such…

Machine Learning · Computer Science 2025-12-17 Alessandro Trapasso , Luca Iocchi , Fabio Patrizi

Multi-objective Markov decision processes are a special kind of multi-objective optimization problem that involves sequential decision making while satisfying the Markov property of stochastic processes. Multi-objective reinforcement…

Machine Learning · Computer Science 2023-08-22 Sherif Abdelfattah , Kathryn Kasmarik , Jiankun Hu

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

Performance · Computer Science 2017-09-08 Jan Křetínský , Tobias Meggendorfer

In this paper we introduce a new approach to discrete-time semi-Markov decision processes based on the sojourn time process. Different characterizations of discrete-time semi-Markov processes are exploited and decision processes are…

Probability · Mathematics 2022-04-21 Giacomo Ascione , Salvatore Cuomo

This paper investigates methods for estimating the optimal stochastic control policy for a Markov Decision Process with unknown transition dynamics and an unknown reward function. This form of model-free reinforcement learning comprises…

Machine Learning · Computer Science 2019-12-06 Brandon Trabucco , Albert Qu , Simon Li , Ganeshkumar Ashokavardhanan

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

Machine Learning · Computer Science 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

We propose a framework that can incrementally expand the explanatory temporal logic rule set to explain the occurrence of temporal events. Leveraging the temporal point process modeling and learning framework, the rule content and weights…

Machine Learning · Computer Science 2023-08-14 Chao Yang , Lu Wang , Kun Gao , Shuang Li

Extrapolation in reinforcement learning is the ability to generalize at test time given states that could never have occurred at training time. Here we consider four factors that lead to improved extrapolation in a simple Gridworld…

Machine Learning · Computer Science 2020-04-16 Eugene Charniak

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

Machine Learning · Computer Science 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei

We provide a framework for speeding up algorithms for time-bounded reachability analysis of continuous-time Markov decision processes. The principle is to find a small, but almost equivalent subsystem of the original system and only analyse…

Systems and Control · Computer Science 2018-07-26 Pranav Ashok , Yuliya Butkova , Holger Hermanns , Jan Křetínský

The online Markov decision process (MDP) is a generalization of the classical Markov decision process that incorporates changing reward functions. In this paper, we propose practical online MDP algorithms with policy iteration and…

Machine Learning · Computer Science 2015-10-16 Yao Ma , Hao Zhang , Masashi Sugiyama

Many sequential decision-making problems that are currently automated, such as those in manufacturing or recommender systems, operate in an environment where there is either little uncertainty, or zero risk of catastrophe. As companies and…

Machine Learning · Computer Science 2023-04-04 Marc Rigter

We introduce the use of reinforcement learning for indirect mechanisms, working with the existing class of sequential price mechanisms, which generalizes both serial dictatorship and posted price mechanisms and essentially characterizes all…

Computer Science and Game Theory · Computer Science 2021-05-07 Gianluca Brero , Alon Eden , Matthias Gerstgrasser , David C. Parkes , Duncan Rheingans-Yoo